Determine the effective rate of interest corresponding to 6% p.a. compounded monthly IY = ___. CY=___. i = ___. f= ___. % up to 2 decimal places Blank 1: Blank 2: Blank 3: Blank 4:

Answer:

Debbie makes more money.  

Step-by-step explanation:

The solution to the given differential equation with the given initial conditions is x(t) = (51/50)e^(5t) + (49/50)e^(-5t) - (t/25) - (1/625).

To solve the given second-order differential equation using the method of undetermined coefficients, we first need to find the complementary function (Yh) and then the particular integral (Yp).

Finding Yh:

The characteristic equation for the given differential equation is r² - 25 = 0. Solving this equation, we get r = ±5. Therefore, the complementary function is Yh = c1e^(5t) + c2e^(-5t), where c1 and c2 are constants.

Finding Yp:

We can guess that the particular integral will be of the form Yp = At + B. Taking the first and second derivatives of Yp, we get Yp' = A and Yp" = 0. Substituting these values in the given differential equation, we get:

0 - 25(At + B) = 1² + t

-25At - 25B = t + 1

Comparing coefficients, we get:

-25A = 1

-25B = 1

Solving these equations, we get A = -1/25 and B = -1/625. Therefore, the particular integral is Yp = (-t/25) - (1/625).

The general solution to the given differential equation is:

x(t) = Yh + Yp

x(t) = c1e^(5t) + c2e^(-5t) - (t/25) - (1/625)

Using the initial condition x(0) = 2, we can find the values of c1 and c2 as follows:

x(0) = c1 + c2 - (1/625) = 2

Also, x'(t) = 5c1e^(5t) - 5c2e^(-5t) - (1/25)

Using the initial condition x'(0) = 0, we get:

x'(0) = 5c1 - 5c2 - (1/25) = 0

Solving these two equations, we get c1 = (51/50) and c2 = (49/50).

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Answer:

Zero acceleration

Step-by-step explanation:

The question is incomplete; however from the details given, it's safe to assume the requirement is to solve for acceleration at any time,t.

We have the following given parameters.

Vy0 = 10m/s

Vyf = 10m/s

To do this, we make use of the following equation of motion

Vyf = Vy0+at

Substitute values for Vy0 and Vyf:

10 = 10 + at

Subtract 10 from both sides

10 - 10 = 10 - 10 + at

0 = 0 + at

0 = at

at = 0

Divide through by t

a = 0

Hence, the acceleration is zero.

Answer:

usage patterns are a variable used in market segmentation.

Step-by-step explanation:

Usage patterns are a variable used in behavioral segmentation.

Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.

Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.

By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.

Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.

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Answer:

2,3

Step-by-step explanation:

2x+1<8

2x<7

x<7/2 or x<3.5

So, the values for x that make this statement true are 2 and 3, because they're both less than 3.5.

The probability that 6 of the selected adults get all their news online is, 8C6(0.45)^6(0.55)^2.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

P = 45% = 0.45

n = 8

X ~ Bin(n, P)

P(X = x) = nCx{Px(1 - P)^n-x},      x = 0, 1, 2, ..., n.

We have to find

P(X = 6) = 8C6(0.45)^6(1 - 0.45)^8 - 6

P(X = 6) = 8C6(0.45)^6(0.55)^2

Hence, the probability that 6 of the selected adults get all their news online is, 8C6(0.45)^6(0.55)^2.

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Answer:

19)  ( \(\frac{-2}{5}\))^2 = \(\frac{4}{25}\)

20) -\(9^{2}\) = -81

21)  \(2^{4}\) = 16

Step-by-step explanation:

The only wrong ones are

19)  ( \(\frac{-2}{5}\))^2 = \(\frac{4}{25}\)

20) -\(9^{2}\) = -81 ... negative is not inside a parenthesis that's why it is still negative

21) you can add another way is \(2^{4}\) = 16

Everything else looks good.  Great job!

Answer:

22

Step-by-step explanation:

116-28

88/4

On solving the provided question, we can say that the angles are In triangle DCE,=> 53 + 35 + x = 180 => x = 180-88 => x = 92

The angles created when a transversal intersects two coplanar lines are known as alternate interior angles. Despite being on the opposing sides of the transversal, they are located on the inner side of the parallel lines. The transversal cuts through the two lines that are coplanar at two different locations.

When a transversal intersects two parallel lines, alternate exterior angles are created. They form two pairs of alternative outside angles (four total angles) by being situated "outside" the two parallel lines but on opposing sides of the transversal.

In Triangle DCE,

angle C = 35( alternate interior angle)

so,

In triangle DCE,

53 + 35 + x = 180

x = 180-88

x = 92

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Answer:

4

Step-by-step explanation:

A=ch

then,

2ft×2ft

4ft

The graph of g(x) is the graph of f(x) shifted up by 8 units

From the question, we have the following equations that can be used in our computation:

f(x) = 3x + 5

g(x) = (3x + 5) + 8

Transformation involves changing the position, the shape or the size of a function

Using the above as a guide, we have the following:

g(x) = f(x) + 8

The above means that the function f(x) is transformed/translated to get the function g(x)

More generally, it means that f(x) is shifted up by 8 units to get g(x)

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Answer:

D

Step-by-step explanation:

A B C D

Looking for BC

AD = 32

AC = 23

BD = 27

BD - AC = BC

27 - 23 = 4

BC = 4

Answer:

50%

Step-by-step explanation:

To find the number of ways to pick a set of six balls from the bin in which at least one ball has an odd number, we can use the principle of inclusion-exclusion.

First, we find the total number of ways to pick a set of six balls from the bin, which is 21 choose 6 (written as C(21,6)) = 54264.

Next, we find the number of ways to pick a set of six balls from the bin in which all the balls have even numbers. There are only 10 even-numbered balls in the bin, so the number of ways to pick a set of six even-numbered balls is 10 choose 6 (written as C(10,6)) = 210.

Therefore, the number of ways to pick a set of six balls from the bin in which at least one ball has an odd number is:

C(21,6) - C(10,6) = 54264 - 210 = 54054.

So there are 54054 ways to pick a set of six balls from the bin in which at least one ball has an odd number.e

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Answer:

A swimming pool charges an entrance fee of $2 per person plus $0.25 for each 10 minutes they spend in the pool.  How much did it cost for Katy to swim for 90 minutes?

let y = total cost

let x = number of 10 minute periods spent in pool

⇒ y = 0.25x + 2

If Katy spent 90 minutes in the pool, x = 9:

⇒ y = 0.25 x 9 + 2 = 4.25

So it cost Katy $4.25 to swim for 90 minutes.

To obtain a sense of predictability, Kelly suggests engaging in hypothesis testing (d).

Kelly's suggestion aligns with the scientific method, which involves formulating hypotheses and testing them to make predictions and gain a sense of predictability. Hypothesis testing is a systematic approach that allows us to evaluate the validity of a proposed explanation or theory.

Template matching (a) refers to a process where incoming information is compared to stored templates or patterns to identify similarities. While it may be useful in certain contexts, it does not directly address the concept of predictability or the systematic evaluation of hypotheses.

Theory construction (b) involves the development of explanatory frameworks that describe and explain phenomena. While theory construction can contribute to predictability by providing overarching explanations, it is typically preceded by hypothesis testing to validate or refine the proposed theories.

Scientific discovery (c) refers to the process of making new observations, uncovering new phenomena, or formulating novel theories. While scientific discovery plays a crucial role in expanding knowledge and understanding, it is often followed by hypothesis testing to validate or refine the newly discovered information.

Therefore, Kelly's suggestion of engaging in hypothesis testing (d) is aimed at obtaining a sense of predictability by systematically evaluating and testing hypotheses to make reliable predictions about future outcomes or observations.

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Answer: 28 Dimes and 45 Nickles

Step-by-step explanation:

See attachment.  

Let the number of dimes and nickles be D and N.  Use the unit of pennies.

We are told:  N = D + 17  

The total of 505 cents is the sum of 10D and 5N :  10D + 5N = 505

Use N = (D+17) in the above equation.

10D + 5(D+17) = 505  

15D + 85 = 505  

15D = 420  

D = 28

Since N = D + 17, N = 45

Check:  

10D + 5N = 505 ?

10(28) + 5(45) = 505

280 +  225 = 505  It works.

The probability that Chauncey Billups misses his first free throw and makes the second is 0.1056. This probability is obtained by multiplying the probability of missing a free throw (0.12) with the probability of making a free throw (0.88). Answer is c) 0.1056.

To calculate the probability, we first determine that the probability of missing a free throw is 1 - 0.88 = 0.12, as Billups makes free throws 88% of the time.The probability that Chauncey Billups misses his first free throw and makes the second can be calculated by multiplying the probabilities of each event.

Given that he makes free throw shots 88% of the time, the probability of missing a free throw is 1 - 0.88 = 0.12.

To find the probability of missing the first shot and making the second, we multiply the probabilities: 0.12 * 0.88 = 0.1056.

Therefore, the correct answer is c) 0.1056.

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Answer:

Step-by-step explanation:

44.5

Answer:

42 units²

Step-by-step explanation:

A = \(\frac{(1+6)}{2}\) (12) = 42 units²

Answer:

C.       \(\frac{3}{2}ab - \frac{\pi a^2}{8}\)

Step-by-step explanation:

Area triangle = \(\frac{1}{2}(3ab) = \frac{3ab}{2} = \frac{3}{2}ab\)

Area semi-circle = \(\frac{1}{2}(\pi (\frac{1}{2}a)^2) = \frac{\pi (\frac{1}{2}a)^2}{2} = \frac{\pi (\frac{1}{4}a)^2}{2} = \frac{\pi a^2}{8}\)

Final Equation = \(\frac{3}{2}ab - \frac{\pi a^2}{8}\)

-Chetan K

Answer:

the answer is x=108

Answer:

20+20+20=60

20+5+5=30

5-2=3

1+(20*5)=100+1=101

Step-by-step explanation:

Hope it helps :)

Answer:

you do order of operations

Step-by-step explanation:

Answer:

It should be 1/2 sorry if i"m wrong

Answer:

sinJ = \(\frac{12}{13}\)

Step-by-step explanation:

sinJ = \(\frac{opposite}{hypotenuse}\) = \(\frac{IK}{JK}\) = \(\frac{12}{13}\)

To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.

To reach your fundraising goal of $75, you can sell pencils for $0.50 and bracelets for $1.00.

1. Calculate the total amount of money needed to reach the goal:
  Goal amount = $75

2. Determine the number of pencils and bracelets you need to sell to reach the goal:
  Let's assume you sell x number of pencils and y number of bracelets.

  The amount raised from selling pencils = x * $0.50
  The amount raised from selling bracelets = y * $1.00

  The total amount raised from both items should be equal to the goal amount:
  x * $0.50 + y * $1.00 = $75

3. Simplify the equation:
  0.50x + 1.00y = 75

4. Solve for one variable in terms of the other:
  Let's solve for x in terms of y:
  0.50x = 75 - 1.00y
  x = (75 - 1.00y) / 0.50

5. Substitute the value of x into the equation:
  (75 - 1.00y) / 0.50 * 0.50 + y * $1.00 = $75
  75 - 2y + y = 75
  -y = 0
  y = 0

6. Find the value of x:
  x = (75 - 1.00 * 0) / 0.50
  x = 75 / 0.50
  x = 150

To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.

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The area of a circle is 158.3 sq. m.

Consider we need to find the area of the given circle.

The radius of a circle is 7.1 m.

The area of a circle is the place occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the circumference of a circle is called the area of the circle.

The area of the circle is:

\(A = \pi r^{2}\) , where r is the circle's radius.

Putting r = 7.1 , π = 3.14, we get

\(A = 3.14 *(7.1)^{2}\)

A = 158.2874

A ≈ 158.3

So, the area of a circle is 158.3 sq. m.

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Step-by-step explanation:

My math is terrible but I think u should eliminate and substitute.

I think the answer is:2x-4y=13

START BY USING BODMAS

y=-(10)+6x-3y=-4x-3

{3+10=13}

{3y+y=4y}

{6x-4x=2x}

4y=+2x-13

=2x-4y=13

I'M NOT SURE OF THE ANSWER THOUGH